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Finding the Fourth Proportional to 308,832.16, 426,184.32 and 174,696.16

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Solution

The fourth proportional to 308,832.16, 426,184.32 and 174,696.16 is: 241,078.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,832.16 : 426,184.32 = 174,696.16 : x
  2. Step 2: Convert to fraction form
    308,832.16/426,184.32 = 174,696.16/x
  3. Step 3: Cross multiply
    308,832.16x = 426,184.32 × 174,696.16
  4. Step 4: Simplify right side
    308,832.16x = 74,452,764,156.21
  5. Step 5: Solve for x
    x = 74,452,764,156.21/308,832.16
  6. Step 6: Final answer
    x = 241,078.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.